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Arrow's theorem of the deductible with heterogeneous beliefs
Recurso electrónico / Electronic resource
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100  ‎$0‎​MAPA20170005414‎$a‎​Ghossoub, Mario ‌
24510‎$a‎​Arrow's theorem of the deductible with heterogeneous beliefs‎$c‎​Mario Ghossoub
520  ‎$a‎​In Arrow¿s classical problem of demand for insurance indemnity schedules, it is well-known that the optimal insurance indemnification for an insurance buyeror decision maker (DM)is a deductible contract when the insurer is a risk-neutral Expected-Utility (EU) maximizer and when the DM is a risk-averse EU maximizer. In Arrow¿s framework, however, both parties share the same probabilistic beliefs about the realizations of the underlying insurable loss. This article reexamines Arrow¿s problem in a setting where the DM and the insurer have different subjective beliefs. Under a requirement of compatibility between the insurer¿s and the DM¿s subjective beliefs, we show the existence and monotonicity of optimal indemnity schedules for the DM. The belief compatibility condition is shown to be a weakening of the assumption of a monotone likelihood ratio. In the latter case, we show that the optimal indemnity schedule is a variable deductible schedule, with a state-contingent deductible that depends on the state of the world only through the likelihood ratio. Arrow¿s classical result is then obtained as a special case.
650 4‎$0‎​MAPA20080579258‎$a‎​Cálculo actuarial ‌
650 4‎$0‎​MAPA20080607913‎$a‎​Probabilidad de impago ‌
650 4‎$0‎​MAPA20080602437‎$a‎​Matemática del seguro ‌
7730 ‎$w‎​MAP20077000239‎$t‎​North American actuarial journal‎$d‎​Schaumburg : Society of Actuaries, 1997-‎$x‎​1092-0277‎$g‎​01/03/2017 Tomo 21 Número 1 - 2017 , p. 15-35